M5096173 Mersenne number exponent details

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M5096173

<<<

>>>

is 2 ^5096173 - 1

has 1534101 decimal digits

takes 0.706 GHz-days to do one PRP test

Last-known PrimeNet details:

Exponent is not assigned to anyone

-unknown- primality tests remaining

	Residue	Status
L-L	-unknown-	-unknown-
PRP	-unknown-	-unknown-

	Trial Factoring			P-1 Factoring				Combined
	Limit	GHz-days	Probability	B1	B2	GHz-days	Probability	GHz-days	Probability	Prob over default TF
Actual	2⁶⁷	5.8306	65.6716%	-	-	-	-	5.8306	65.6716%	0.0000%
PrimeNet	2⁶¹	0.0603	62.2951%	22000	500000	0.0097	3.4091%	0.0699	63.5805%	1.2854%
GPU72	2⁶⁵	1.4316	64.6154%	34000	700000	0.0141	2.4238%	1.4457	65.4730%	0.8576%
Difference	+2	+4.3990	+1.0563%	-34000	-700000	-0.0141	-2.4238%	+4.3849	+0.1986%	+0.1986%

Known prime factors (2 factors, 96.4 bits, 0.00189152% known):

Remaining cofactor is not a probable-prime

						P-1		GHz-days
exponent	factor	digits	bits*	k	date found	min B1	min B2	min. TF	min. P-1	normal P-1
5096173	937695833	9	29.805	92 2² × 23	-	4	23	1.431e-11	1.012e-6	1.636e-6
5096173	111100302436177434647	21	66.590	10900366062551 7 × 83 × 124339 × 150889	2019-10-31	124339	150889	4.7331	0.0253	0.0509

1 Composite Factors:

exponent	prime factors	composite factor	digits	bits*
5096173	937695833 111100302436177434647	104178290639443328917121725951	30	96.395

P-1 results:
No P-1 results for M5096173

Trial Factoring results:
No TF results for M5096173

ECM factoring results:

Old Calculation Method

Total ECM effort:	0.422 GHz-days
Estimated T-Level:	0.100

Digits	B1	Curves	Complete	FacMiss
20	11000	2 / 100	0.020	98.010%
25	50000	2 / 280	0.007	99.287%

New Calculation Method

Total ECM effort:	0.422 GHz-days
Estimated T-Level:	0.100

Digits	B1	Complete	FacMiss
20	11000	0.077	92.596%
25	50000	0.007	99.291%

ECM Summary

B1	B2	factor	curves	GHz-days
50000	5000000	111100302436177434647	2	0.422

	GHz-Days
date	userid	compid	b1	b2	factor	bits*	curve#	stage#	sigma	numcurves	spent
2019-10-31T08:50:35	ATH	ec2-ECMCF	50000	5000000	111100302436177434647	66.590	2	2	4489539291718034	2	0.422

Lucas-Lehmer results:
No L-L results for M5096173

PRP results:

date

userid

compid

cofactors

res64

PRP

2017-09-20T18:09:08

kkmrkkblmbrbk

Manual testing

937695833

72F832B1F5F6DB__

2018-05-04T08:32:08

ATH

ec2-PRPCFDC

937695833

72F832B1F5F6DB__

2019-11-12T17:21:10

mnd9

75211front

937695833

111100302436177434647

DFC8BD93914E9923

2019-11-14T19:01:32

arnaud

stm-11-010

937695833

111100302436177434647

DFC8BD93914E9923

P-1 factor-bounds graph:

X = B1; Y = B2
size of marker relates to size of factor
mouse-over any factor marker (circle) to see additional info
mouse-over any stage bound text to see additional info

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

10⁰

10¹

10²

10³

10⁴

10⁵

10⁶

TF factor-bounds graph:

2⁶⁷

2²⁰

2³⁰

2⁴⁰

2⁵⁰

2⁶⁰

2⁷⁰

2⁸⁰

2⁹⁰

2¹⁰⁰

Last modified: 2019-11-14T19:01:32+00:00

0M	<	10¹⁰	All tracked exponents
0M	<	2³²	GPU TF range
0M	<	1000M	PrimeNet range
0M	<	193M	low-PrimeNet, low-res
0M	<	385M	low-PrimeNet, high-res
50M	<	146M	PrimeNet wavefront